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Finding the Fourth Proportional to 494,480.80, 741,548.40 and 257,744.80

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Solution

The fourth proportional to 494,480.80, 741,548.40 and 257,744.80 is: 386,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,480.80 : 741,548.40 = 257,744.80 : x
  2. Step 2: Convert to fraction form
    494,480.80/741,548.40 = 257,744.80/x
  3. Step 3: Cross multiply
    494,480.80x = 741,548.40 × 257,744.80
  4. Step 4: Simplify right side
    494,480.80x = 191,130,244,048.32
  5. Step 5: Solve for x
    x = 191,130,244,048.32/494,480.80
  6. Step 6: Final answer
    x = 386,527.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.